Prime p₀= 2371914866116670219 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 28 2 16 2 46 2 40 2 118 2 (?)
a_n: 0 2 72 74 102 104 120 122 168 170 210 212 330 332
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 332
Found by: Landjunge
db: batch=81, k=14, 70 28 16 46 40 118

SPT(16)	2371913605263218977	0 16 24 30 52 90 132 142 204 214 256 294 316 322 330 346	-1260853451242
SPT(16)	2371913811804829973	0 24 30 38 48 104 108 168 290 350 354 410 420 428 434 458	-1054311840246
SPT(16)	2371913846389291049	0 98 104 110 158 200 224 228 230 234 258 300 348 354 360 458	-1019727379170
STPT(10)	2371914642219940001	0 2 30 32 60 62 90 92 120 122	-223896730218
STPT(10)	2371914708400509689	0 2 18 20 30 32 42 44 60 62	-157716160530
SPT(16)	2371914829706502481	0 46 58 60 76 216 238 240 298 300 322 462 478 480 492 538	-36410167738
TPT(14)	2371914919059613001	0 2 6 8 48 50 138 140 180 182 306 308 426 428	52942942782
STPT(10)	2371915070906259017	0 2 12 14 42 44 72 74 84 86	204789588798
SPT(16)	2371915378449032459	0 8 24 42 44 92 102 114 128 140 150 198 200 218 234 242	512332362240
STPT(10)	2371915677107027801	0 2 36 38 78 80 120 122 156 158	810990357582
STPT(10)	2371915803474971357	0 2 84 86 162 164 240 242 324 326	937358301138